2018/05/06 by Hitchin, Nigel
#20G20 #53C28 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1805.02224
We interpret an open orbit in a 32-dimensional representation space of Spin(9,1) x SL(2,R) as a substitute for the non-existent group of invertible 2x2 matrices over the octonions and study various natural homogeneous subspaces. The approach is via twistor geometry in eight dimensions.